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Finding the Fourth Proportional to 22,642.23, 31,246.17 and 12,570.75

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Solution

The fourth proportional to 22,642.23, 31,246.17 and 12,570.75 is: 17,347.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.23 : 31,246.17 = 12,570.75 : x
  2. Step 2: Convert to fraction form
    22,642.23/31,246.17 = 12,570.75/x
  3. Step 3: Cross multiply
    22,642.23x = 31,246.17 × 12,570.75
  4. Step 4: Simplify right side
    22,642.23x = 392,787,791.53
  5. Step 5: Solve for x
    x = 392,787,791.53/22,642.23
  6. Step 6: Final answer
    x = 17,347.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.